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Finding the Fourth Proportional to 31,777.96, 43,849.01 and 20,462.80

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Solution

The fourth proportional to 31,777.96, 43,849.01 and 20,462.80 is: 28,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.96 : 43,849.01 = 20,462.80 : x
  2. Step 2: Convert to fraction form
    31,777.96/43,849.01 = 20,462.80/x
  3. Step 3: Cross multiply
    31,777.96x = 43,849.01 × 20,462.80
  4. Step 4: Simplify right side
    31,777.96x = 897,273,582.58
  5. Step 5: Solve for x
    x = 897,273,582.58/31,777.96
  6. Step 6: Final answer
    x = 28,235.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.